GATE Practice Question and Answer

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Answer :
Explanation :

Given A,B,C can complete a work in 15,20 and 30 respectively. The total work is given by the LCM of 15, 20, 30 i.e, 60. A's 1 day work = 60/15 = 4 units B's 1 day work = 60/20 = 3 units C's 1 day work = 60/30 = 2 units (A + B + C) worked for 2 days = (4 + 3 + 2) 2 = 18 units  Let B + C worked for x days = (3 + 2) x = 5x units C worked for 2 days = 2 x 2 = 4 units Then, 18 + 5x + 4 = 60 22 + 5x = 60 5x = 38 x = 7.6   Therefore, total number of days taken to complete the work = 2 + 7.6 + 2 = 11.6 = 11 3/5 days.

Q: 9 girls working 7 hours a day can complete a piece of work in 15 day. In how many days can 6 girls working for 9 hours a day, complete the same piece of work? 1655 0

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    35/4 days
    Correct
    Wrong
  • 2
    17.5 days
    Correct
    Wrong
  • 3
    19 3/4 days
    Correct
    Wrong
  • 4
    37/3 days
    Correct
    Wrong
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Answer : 2. "17.5 days"
Explanation :

Answer: B) 17.5 days Explanation: Let the number of days be 'p'  As the work is same, we know that M1 x D1 x H1 = M2 x D2 x H2 Where M = Men, D = Days, H = Hours per day  Here M1 = 9, D1 = 15, H1 = 7  M2 = 6, D2 = p, H2 = 9  => 9 x 15 x 7 = 6 x p x 9  => p = 35/2 = 17.5 days.

Q: Arun’s weight is 140% of Akhil’s weight. Nani’s weight is 90% of Shreyon’s weight. Shreyon’s weight is twice as much as Akhil’s. What percentage of Arun’s weight is Nani’s weight? 1654 0

  • 1
    76%
    Correct
    Wrong
  • 2
    77%
    Correct
    Wrong
  • 3
    78%
    Correct
    Wrong
  • 4
    79%
    Correct
    Wrong
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Answer : 3. "78%"
Explanation :

Answer: C) 78% Explanation: Let Akhil's weight = p kg => Shreyon's weight = 2p kg Nani's weight = 0.9 x 2p = 1.8p kg => Arun's weight = 1.4p kg Required percentage = 1.4p1.8p x 100 = 77.8% ~= 78%

Q: Instrument used to measure oxygen? 1654 0

  • 1
    Aminometer
    Correct
    Wrong
  • 2
    Respirometer
    Correct
    Wrong
  • 3
    Thaleometer
    Correct
    Wrong
  • 4
    Galiometer
    Correct
    Wrong
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Answer : 2. "Respirometer"
Explanation :

Answer: B) Respirometer Explanation: A respirometer is a device used to measure the rate of respiration of a living organism by measuring its rate of exchange of oxygen and/or carbon dioxide.

Q: What value will come in place of question mark (?) in the number - series given below  ?  4, 30, ?, 1440, 7195, 71940 1651 0

  • 1
    145
    Correct
    Wrong
  • 2
    545
    Correct
    Wrong
  • 3
    650
    Correct
    Wrong
  • 4
    999
    Correct
    Wrong
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Answer : 1. "145"
Explanation :

Answer: A) 145 Explanation: 4       30       ?     1440       7195      71940   Here the given series follows a pattern of   4   4 x 10 - 10 = 30   30 x 5 - 5  = 145   145 x 10 - 10 = 1440   1440 x 5 - 5 = 7195   7195 x 10 - 10 = 71940   Hence, the missing number is 145

Q: Mohan spends 23% of an amount of money on an insurance policy, 33% on food, 19% on children’s education and 16% on recreation. He deposits the remaining amount of Rs. 504 in bank. How much amount does he spend on food and insurance policy together? 1651 0

  • 1
    Rs. 2326
    Correct
    Wrong
  • 2
    Rs. 5876
    Correct
    Wrong
  • 3
    Rs. 1741
    Correct
    Wrong
  • 4
    Rs. 3136
    Correct
    Wrong
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Answer : 4. "Rs. 3136"
Explanation :

Answer: D) Rs. 3136 Explanation: Let total amount = Rs. P Total expenditure = (23 + 33 + 19 + 16)% of P = 91%ofP Remaining money = (100 - 91)% of P = 9% of P But given in the question that, 9% of P = 504 9p/100 = 504 => P = 50400/9 => P = Rs. 5600   Required money spent on Food & Insurance = 23 + 33 % = 56% of 5600 = 56 x 5600/100 = 56 x 56 = Rs. 3136

Q: Simplify 2392-21+8-72=?2 1651 0

  • 1
    4
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    9
    Correct
    Wrong
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Answer : 3. "6"
Explanation :

Answer: C) 6 Explanation: ?2 = 2×78-21+8+49-148= 57 - 21=36=> ? = ±6

Q: A train-A passes a stationary train B and a pole in 24 sec and 9 sec respectively. If the speed of train A is 48 kmph, what is the length of train B? 1650 0

  • 1
    200 mts
    Correct
    Wrong
  • 2
    180 mts
    Correct
    Wrong
  • 3
    160 mts
    Correct
    Wrong
  • 4
    145 mts
    Correct
    Wrong
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Answer : 1. "200 mts"
Explanation :

Answer: A) 200 mts Explanation: Length of train A = 48 x 9 x 5/18 = 120 mts Length of train B = 48 x 24 x 5/18 - 120 => 320 - 120 = 200 mts.

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